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Generalized solutions to a free boundary problem of motion of a non-newtonian fluid

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References

  1. V. A. Solonnikov, “Solvability of the problem of motion of a viscous incompressible fluid bounded by a free surface,” Izv. Akad. Nauk SSSR Ser. Mat.,41, No. 6, 1388–1424 (1977).

    Google Scholar 

  2. J. T. Beal, “Large time regularity of viscous surface waves,” Arch. Rational Mech. Anal.,84, 307–352 (1984).

    Google Scholar 

  3. V. A. Solonnikov, “On the unsteady motion of an isolated fluid volume,” Izv. Akad. Nauk SSSR Ser. Mat.,5, No. 5, 1065–1087 (1941).

    Google Scholar 

  4. F. J. Almgrem, Plateau Problem. An Invitation to Varifold Geometry, W. A. Benjamin inc., New York (1966).

    Google Scholar 

  5. W. Allard, “On the first variation of a varifold,” Ann. Math.,95, 417–491 (1972).

    Google Scholar 

  6. J. Warga, Optimal Control of Differential and Functional Equations [Russian translation], Nauka, Moscow (1977).

    Google Scholar 

  7. H. Federer, Geometric Measure Theory [Russian translation], Nauka, Moscow (1987).

    Google Scholar 

  8. J.-L. Lions, Some Methods for Solving Nonlinear Boundary Value Problems [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  9. C. Miranda, Partial Differential Equations of Elliptic Type [Russian translation], Izdat. Inostr. Lit., Moscow (1957).

    Google Scholar 

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Authors
  1. P. I. Plotnikov
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Additional information

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 4, pp. 127–141, July–August, 1993.

Translated by G. V. Dyatlov

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Plotnikov, P.I. Generalized solutions to a free boundary problem of motion of a non-newtonian fluid. Sib Math J 34, 704–716 (1993). https://doi.org/10.1007/BF00975173

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  • DOI: https://doi.org/10.1007/BF00975173

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